What is expand 1/((x-1)^2(x-2)) ?

The solution to expand 1/((x-1)^2(x-2)) is 1/(x^3-4x^2+5x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 1/((x-1)^2(x-2))

expand

\frac{1}{( x - 1 ) ^{2} ( x - 2 )}

\frac{1}{x ^{3} - 4 x ^{2} + 5 x - 2}

Solution steps

\frac{1}{( x - 1 ) ^{2} ( x - 2 )}

(x - 1)^{2} = x^{2} - 2 x + 1

= \frac{1}{( x ^{2} - 2 x + 1 ) ( x - 2 )}

Expand

(x^{2} - 2 x + 1) (x - 2) : x^{3} - 4 x^{2} + 5 x - 2

= \frac{1}{x ^{3} - 4 x ^{2} + 5 x - 2}

\frac{10}{s ( s + 1 ) ( s + 2 ) ^{2}}

\frac{x ^{2} ( x - 3 )}{( x - 1 ) ^{3}}

\frac{x + 1}{x ( x ^{2} + 1 )}

\frac{100}{( s + 1 ) ( s + 5 )}

(x - 4) e^{x}

What is expand 1/((x-1)^2(x-2)) ?
The solution to expand 1/((x-1)^2(x-2)) is 1/(x^3-4x^2+5x-2)